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Over [174]
3 years ago
9

A delivery truck is transporting boxes of two sizes large and small. The combined weight of a large box and a small box is 80 po

unds. The tuck is transporting
50 large boxes and 55 small boxes. If the truck is carrying a total of 4125 pounds in boxes, how much does each type of box weigh?

Large box:
Small box:
Mathematics
1 answer:
Liula [17]3 years ago
7 0

Answer:

small=15 large=40

Step-by-step explanation:

x=large box

y=small box

55 = x + y

 

50x + 55y = 2825

 

50x + 55( 55 - x) = 2825

 

50x + 3025 - 55x = 2825

 

0 = 55x - 50 x + 2825 - 3025

 

0 = 5x - 200

 

200 = 5x

 

x=40

 

y = 15

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From the side of a hill wai-kin looks up at the top of a nearby vertical cliff at an angle of elevation of 36 degrees and looks
oksano4ka [1.4K]

Answer:

881.5 meters.

Step-by-step explanation:

The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.

The height of the cliff = x + y

Applying the appropriate trigonometry functions.

To determine the value of x;

Tan θ = \frac{opposite}{adjacent}

Tan 36^{o} = \frac{x}{490}

⇒ x = 490 x Tan 36^{o}

      = 490 x 0.7265

     = 355.985

x = 356 meters

To determine the value of y;

Tan θ = \frac{opposite}{adjacent}

Tan 47^{o} = \frac{y}{490}

⇒ y = 490 x Tan 47^{o}

      = 490 x 1.0724

      = 525.476

y = 525.5 meters

Therefore,

The height of the cliff = x + y

                                   = 355.985 + 525.476

                                   = 881.461

The height of the cliff is 881.5 meters.

3 0
3 years ago
The woods family traveled 25 miles in 1/2 hour. If it is currently 3:00 pm and the family's destination is 225 miles away at wha
svetlana [45]
<span>Given: family travelled 25 miles in 30 minutes or 50 miles /hr current time 3.00 pm. total distance=225 miles. solution: speed = distance * time time = distance/spedd = 225/50 time = 4.5 hours. reaching time= 3 hours +4 hour 30 minutes= 7.30 pm</span>
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2 years ago
How long will it take you to drive 175 miles of 25 miles per hour
Paha777 [63]
So if you're driving 25 miles per hour, it would take you 7 hours to drive 175 miles. 175 miles ÷ 25 miles = 7 hours.
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3 years ago
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lesantik [10]
I honestly don’t understand
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2 years ago
What is 436/85 as a mixed number.?
ivann1987 [24]

Answer:

5  11/85

Step-by-step explanation:

First see how many times a whole number can be found.

436/85 = 5.1294

The denominator goes into the numerator 5 times.

Now we find a new numerator.

436 - (85 * 5) = 11 (this is the amount left over after we made 5 wholes.)

Now we see 5 11/85

It cannot be simplified further.

7 0
2 years ago
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